If and are the roots of the equation

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α\alpha and β\beta are the roots of the equation x2−x+1=0x^2-x+1=0, what is α2009+β2009\alpha^{2009}+\beta^{2009}? (1) −1-1 (2) 11 (3) 22 (4) −2-2

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